2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121429Parabosonic $P_{B}^{(n)}$ and parafermionic $P_{F}^{(n)}$ algebras are described as quotients of the tensor algebras of suitably choosen vector spaces. Their (super-) Lie algebraic structure and consequently their (super-) Hopf structure is shortly discussed. A bosonisation-like construction is presented, which produces an ordinary Hopf algebra $P_{B(K^{\pm})}^{(n)}$ starting from the super Hopf algebra $P_{B}^{(n)}$.9 pages. Contribution to the 6th Paanhellenic conference in Algebra and Number Theory, Aristotle University of Thessaloniki, Thessaloniki, 10-12 June 2006High Energy Physics - TheoryMathematical PhysicsQuantum AlgebraParabosonic and parafermionic algebras. Graded structure and Hopf structurestext